14 copies of a code module are to be executed in parallel on

14 copies of a code module are to be executed in parallel on identical processors organized into two communicating clusters, A and B. Cluster A contains 16 processors and cluster B contains 32 processors.

How many different sets of processors can be used if all modules are to be executed on cluster A or on cluster B?

Solution

total no.of processors = 16+32 = 48

we execute 14 copies

hence, there are C(48,14) different sets of processors are used

i.e 48c14

48!/14!(48-14)!

48!/14!34!

=48*47*46*45*44*43*42*41*40*39*38*37*36*35/14!